The distance, y, Miranda travels while cross-country skiing, y, her distance traveled, varies directly with the amount of time, x, that she skis. Suppose Miranda skis 10 miles (the y coordinate) in 2 hours (the x coordinate).
A. What is the speed in miles per hour that Miranda is traveling?

B. Use your answer for (A) to write a direct linear variation equation relating this information.

C. How far will Miranda go in 3 hours?

D. If she travels 20 miles, how long did she ski? This one is worked out backward, be careful!
show your work

Answers

Answer 1

Using the principle of direct variation, the solution to the problem given are :

5 miles per hour d = 5t15 miles 4 hours

Given the Parameters :

Distance = d

Amount of time = t

d α t ; d = kt

We can find k = constant of proportionality = speed of travel ;

d = 10 miles ; t = 2 hours

10 = 2k

k = 10/2

k = 5

Hence, speed = 5 miles per hour

B.) The direct linear variation expression becomes ;

d = 5t

C.) Distance traveled in 3 hours :

t = 3 hours

d = 5t

d = 5(3) = 15 miles

D. Time taken to travel a distance of 20 miles

d = 5t

20 = 5t

t = 20/5

t = 4 hours

Therefore, it will take 4 hours to travel a distance of 20 miles.

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Related Questions

133.5 divided by 5 show work!

Answers

5 StartLongDivisionSymbol 133.5 EndLongDivisionSymbol minus 10 = 33. 33 minus 30 = 35. 35 minus 35 = a remainder of 0 and quotient of 26.7. 133.5 divided by 5 = 26.7

Answer

answer is in the attachment.

Step-by-step explanation:

hope it helps

Simplify this expression.

Answers

7.82ksknznsjsjjjjjjj

The average lifespans of 18 common species of turtles are shown below along with the five-number summary.


According to the 1.5 IQR rule for outliers, how many low outliers are there in the data set?

Answers

Answer:

There are 0 low outliers in the data set.

Step-by-step explanation:

The five-number summary tells us that Q1= 24 and Q3=40

Q1-1.5*IQR

=24-1.5*IQR

=24-1.5(40-24)

=24*1.5*16

=24-24

=0

Answer:

0

Step-by-step explanation:

GCF of [tex]x^{3} y^{5} z^{2} and x^{4}yz^{5}[/tex]

Answers

Answer:

[tex]x^{3} yz^{2}[/tex]

Step-by-step explanation:

3 friends split the cost of renting a boat. Each person rented a life preserver. The cost of the boat was $120. The total cost for the boat and life preservers was $135 write and solve an equation to find the cost of the life preservers

Answers

Answer:

$5

Step-by-step explanation:

$135-$120=15

15 divided by the amount of people, which is 3, equals $5. It costs $5 for a life preserver.

You have 10 blue shirts and r red shirts.
What expression shows your total number of shirts?

Answers

S = 10 + r. Please give me a brainliest if you found this helpful:)

Which table represents a linear function? Mark this and return Save and Exit Next Submit

Answers

Answer:

The first table because the y side is increasing at the same rate . the rate is 4

PLEASE HELP ME ITS ALGEBRA THANK YOUUUUUUU

Answers

8 weeks of school needed to do 64 quizzes

Solve for p.

-p + -8.1 = 1.37

p =


PLS HELP

Answers

p = -9.47

Step-by-step explanation:

-p + -8.1 = 1.37

-p = 1.37 + 8.1

-p = 9.47

p = -9.47

If f(x) = 2x + 10, then f^-1(x) =

Answers

If [tex]f^{-1}(x)[/tex] is the inverse of [tex]f(x)[/tex], then

[tex]f\left(f^{-1}(x)\right) = x[/tex]

by definition of inverse function. We have

[tex]f\left(f^{-1}(x)\right) = 2f^{-1}(x) + 10 = x[/tex]

Solve for the inverse :

[tex]2f^{-1}(x) + 10 = x \\\\ 2f^{-1}(x) = x-10 \\\\ \boxed{f^{-1}(x) = \dfrac{x-10}2}[/tex]

The amount of time it takes a swimmer to swim a race varies inversely as the average speed of the swimmer. A swimmer finishes a race in 37.5 seconds with an average speed of 4 feet per second. Find the average speed of the swimmer if it takes 25 seconds to finish the race.

Answers

Answer:

5 average speed

Step-by-step explanation:

Answer:

eeessddsddddddddd

Step-by-step explanation:

ddds

Solve for b.

Help pls thank u !!!!

Answers

Step-by-step explanation:

3b - 3.76 = 1.34

3b = 3.76+ 1.34

3b = 5.1

b= 5.1/3

= 1.7

Need help with math homework

Answers

Answer:

Step-by-step explanation:

e

Answer:

hey dear mate!

you can install a app

Step-by-step explanation:

named gauth math

Two numbers add up to 44 they have a difference of 10 what are the numbers?​

Answers

22 is half

u go down by 1 and up by 1

It ends up at 17 and 27

17+27=44

The two numbers you are looking for are 17 and 27

explain how a thermometer is a positive or negative example?

Answers

Negative Numbers - GeoGebra

Thermometer - Positive and Negative Numbers · At noon, the temperature was 5 degrees Celsius. By late afternoon, it has risen 6 degrees Celsius.

Answer:

Negative Numbers - GeoGebra

Thermometer - Positive and Negative Numbers · At noon, the temperature was 5 degrees Celsius. By late afternoon

Question 6
Zoo Visitors
The graph shows how the number of visitors at a local zoo is
related to the average daily temperature. The line shown is
the line that most closely approximates the data in the
scatter plot
450
400
350
300
250
$ 200
150
100
50
.
USE ESTIMATION Use the line to approximate the number
of visitors at the zoo for an average daily temperature of
50°F. Compare this to the actual number of visitors given by
the point on the graph for an average daily temperature of
50°F
0
20 40 60 80
Average Daily Temperature (°F)
line: about
visitors
point about
visitors

Answers

The difference between the actual number and approximate number of visitors at an average daily temperature of 50°F is about 90 with the approximate value lower than the actual number of visitors.

From the graph attached which shows the trend line which approximates the number of visitors for a given average temperature value.

The approximate number of visitors predicted by the model at an average temperature value of 50°F is 250

The actual number of visitors represented by the dot at an average temperature value of 50°F is about 340.

Therefore, the approximate value is about 90 visitors below the actual number of visitors at the zoo.

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can yall help me with maths I will give you the brainlis something soo​

Answers

1. 21 2. Most popular is wedges 3.17 4.56 5.Boots

help pls!

Give some examples of taxation:​

Answers

Answer:

IN THE EXPLANATION!!

Step-by-step explanation:

income tax. Capital gains tax is a tax on the sale of an investment, usually stocks, bonds, precious metals and property.

Payroll tax. FICA tax is a tax levied in the United States to fund Social Security and Medicare. ...

Property taxes. Most property taxes charge for both the value of the land and the value of any buildings or other improvements on the land.

Consumption taxes. A general tax refers to a tax that applies to all or most goods and services and where all are taxed at the same rate.

a tax is imposed on everything: on products in stores, in restaurants, absolutely everywhere

Can someone please explain how to do this problem? I'm struggling a bit.​

Answers

Answer:

x=135/13

Step-by-step explanation:

9/13 × 15 = x

9 × 15/13 = x

135/13 = x

x = 135/13

I hope this helps :)

Where on the number line would the number -3 be placed

Answers

Answer:

3 Units To The Left

Step-by-step explanation:

Help please………………………

Answers

Answer: See below

Step-by-step explanation:

1. Yes

2. No

3.No

4. Yes

5. No

6. Yes

7. No

8. No

9. Yes

Subtract
8/9 - 1/3

5/6
5/9
7/9
7/12

Answers

Answer:

3/9

Step-by-step explanation:

Common denominator: 27

24/27 - 9/27 = 15/27 = 3/9

Mai, goran, and Juan have a total of $84 in their wallets. Goran has 3 times what Juan has. Mai has $6 less than Juan. How much does each have?

Answers

Answer:

Goran: $54

Juan: $18

Mai: $12

Step-by-step explanation:

Please leave “thanks” heart

Translate each graph as specified below.
(a) The graph of y=f(x) is shown. Translate it to get the graph of y=f(x) - 4.
(b) The graph of y=g(x) is shown. Translate it to get the graph of y=g(x - 2).

Answers

Answer:

1

Step-by-step explanation:

1

The answers are :

a) The graph is translated downwards by 4 units.

b) The graph is translated downwards by 2 units.

What do you mean by translation of a graph ?

The modification of an existing graph or graphed equation to create a different version of the following graph is known as translation.

a)

The graph of y = f(x) is shown.

The other function is y = f(x) - 4.

As it can be observed that the graph is translated from its parent function which is y = f(x) to function y = f(x) - 4.

The graph is shifted down by 4 units or translated downwards by 4 units.

b)

Here , the graph of y = g(x) is shown.

The other function is y = g(x -2)

As we can observe that the graph is translated from its parent function which is y = g(x) to function y = g(x - 2).

The graph is shifted downwards by 2 units or translated downwards by 2 units.

Therefore , the answers are :

a) The graph is translated downwards by 4 units.

b) The graph is translated downwards by 2 units.

Learn more about translation here :

https://brainly.com/question/12861087

#SPJ2

Plz help!!!

A.) is the relationship a function?

B.) explain your answer. Use words “input” and “output”.

C.) Rachel plans to study 2 hours for her next exam. Will plotting her grade on the same graph change your answer to part a?
- No, it will stay a function
- Yes, it would change to not a function

D.) explain your answer from part c. Be specific.

Answers

Answer:

no of course yes its no yes

Step-by-step explanation:

What is the primary difference between exponential and linear functions?

A: The growth of an exponential function is proportional to the previous growth while the growth of a linear function is constant.

B:The growth of a linear function is proportional to the previous growth while the growth of an exponential
function is constant.

C:The growth of a linear function is proportional to the previous growth while the growth of an exponential
function is proportional to the quadratic growth.

D:The growth of an exponential function is proportional to the quadratic growth while the growth of a linear function is constant.

Answers

Answer:

A

Step-by-step explanation:

We know that the growth of a linear function will always be constant. So, that eliminates B and C.

A quadratic function can be a function such as [tex]x^2[/tex], or [tex]5x^2+7x[/tex], etc.

An exponential function wouldn't be [tex]x^2[/tex], it would be [tex]2^x[/tex]! Or [tex]3^x[/tex], or [tex](1.738283)^x[/tex], etc. Therefore, D is eliminated.

So, the answer is [tex]\boxed{A}[/tex] and we're done!

Plz help really appreciate it, if could plz step out so i can understand if not its ok but help. ​

Answers

a. True.

b. False. Only the sum of the exterior angles is 360°.

c. True.

d. True.

5 by 8 of the children in the field are girls. There are 45 boys. How many girls are there?

Answers

Answer:

5+8 = 13

5:8

Girls

8÷5 × 45

== 28

hope it helped

Answer:

75 girls

Step-by-step explanation:

[tex]\dfrac{5}{8} \ are\ girls[/tex]

[tex]\dfrac{8-5}{8}=\dfrac{3}{8} \ are \ boys[/tex]

Let the total children = x

[tex]\dfrac{3}{8} \ of \ x = 45\\\\\dfrac{3}{8}*x = 45\\\\x =45*\dfrac{8}{3}= 15 * 8\\[/tex]

x = 120 children

Number of girls = 120 - 45 = 75

Will mark as brainlist answer quickly



Choose the present perfect tense for the following verb.


make

Marcet_____ her special chocolate cake many times.


has maked


have made


has made







made

Answers

Answer:

Marcet has made her special chocolate cake many times.

Please mark as Brainliest, thank you!

Hello, i'm looking for someone to help me with my missing math hw?

Answers

Answer:

Hello! I can help you with it :)

Well, I do not know where you live, so I do not know what nooks and crannies your hm could be hiding.

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